1320312000 has 448 divisors, whose sum is σ = 5173309440. Its totient is φ = 290304000.

The previous prime is 1320311977. The next prime is 1320312011. The reversal of 1320312000 is 2130231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4871865 + ... + 4872135.

Almost surely, 2^1320312000 is an apocalyptic number.

1320312000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586654720).

1320312000 is an abundant number, since it is smaller than the sum of its proper divisors (3852997440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1320312000 is a wasteful number, since it uses less digits than its factorization.

1320312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1320312000 is about 36336.0977541618. The cubic root of 1320312000 is about 1097.0477309328.

Adding to 1320312000 its reverse (2130231), we get a palindrome (1322442231).

The spelling of 1320312000 in words is "one billion, three hundred twenty million, three hundred twelve thousand".